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Finding the Fourth Proportional to 3,415.47, 4,715.67 and 2,617.38

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Solution

The fourth proportional to 3,415.47, 4,715.67 and 2,617.38 is: 3,613.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,415.47 : 4,715.67 = 2,617.38 : x
  2. Step 2: Convert to fraction form
    3,415.47/4,715.67 = 2,617.38/x
  3. Step 3: Cross multiply
    3,415.47x = 4,715.67 × 2,617.38
  4. Step 4: Simplify right side
    3,415.47x = 12,342,700.34
  5. Step 5: Solve for x
    x = 12,342,700.34/3,415.47
  6. Step 6: Final answer
    x = 3,613.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.